Presents activities in a context that promotes connections between students' experiences and new content and provides visual and/or physical links between informal knowledge and formal math ideas. (YDS)

Discusses the concept of three-dimensional perspective. Presents some assessment tasks to help develop perspective and describes student responses. (Author/NB)

Presents the Shape Search problem to develop student visualization. Focuses attention on the National Council of Teachers of Mathematics (NCTM) Geometry Standard. (Author/NB)

Describes several mental theater exercises that act as a powerful antidote to the confused helplessness that remedial readers often endure. Suggests that these exercises help students to learn new ways to achieve control over their own mental processes during reading. (SR)

Describes a method of designing educational technology that is strongly informed by empirical studies of how students actually understand and use technology. Discusses what students need to know about software. (Author/CCM)

Describes how elementary school teachers demonstrated for themselves and their students how using simple drawings and visualization can improve problem-solving ability. (ASK)

Investigates the mathematical practices used by a home designer and builder. Points out the existence not only of diverse forms of mathematics, or ethnomathematics, but also of diverse ways of doing mathematics. Argues that these idiosyncratic ways of mathematizing, whether pertaining to individuals or to entire cultural groups, should be…

The graphing calculator affords the student in analysis a powerful tool to extend visualization, which was previously limited to textbook illustrations and time-consuming constructions. Provides illustrative examples used in initial classroom presentations of several topics including convergence and in student explorations of these topics. (ASK)

Presents four activities in which students cut out and assemble pieces to create Celtic designs. (ASK)

Presents three geometric problems from a workshop for in-service algebra teachers to help them make connections between the mathematical concepts that they know and the drawings that they were required to display on their graphing calculators. (ASK)

Uses different illustrations with simple line drawings in the word "QUIZ" as clues for students prior to taking tests. (YDS)

To hold student interest, distance learning instructors need to think and present ideas visually. Presentations should be limited to three or four key points that would benefit from visual depiction. Visual aids used for presentation may be image-related, concept-related, or arbitrary graphics. Sophistication of visual aid is not as important as…

Illustrates the contrasting thinking processes of two beginning calculus students' geometric and analytic schemes for the derivative function. Suggests that teachers can enhance students' understanding by continuing to demonstrate how different representations of the same mathematical concept provide additional information. (KHR)

Presents problems designed to focus student attention on the visual representations that accompany the verbal statements of problem situations involving motion over a period of time. Shows that as a result of engaging in these activities, students gain a better understanding of a given problem situation before they apply procedures to answer…

Presents a problem of tetras made with four cubes, mathematical ideas involved in this problem, and guiding questions for teachers. (KHR)